{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PyDMD"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tutorial 6: Higher Order Dynamic Mode Decomposition on low dimensional snapshots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this tutorial we will show the application of the higher order dynamic mode decomposition (for complete description read the original work by [Soledad Le Clainche and José M. Vega](https://epubs.siam.org/doi/10.1137/15M1054924)). This method allows to apply the DMD also when the dimension of the snapshots is less than the number of snapshots: following we will consider a limit case, dealing with 1D snapshots."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First of all we import the HODMD class from the PyDMD package, we set matplotlib for the notebook and we import numpy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import time\n",
    "\n",
    "from pydmd import HODMD"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we create our toy dataset: we evaluate a nonlinear function in equispaced points, in order to simulate a temporal signal.Here our function:\n",
    "\n",
    "$\n",
    "f(t) = \\cos(t) * \\sin(\\cos(t)) + \\cos(\\frac{t}{5})\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def myfunc(x):\n",
    "    return np.cos(x)*np.sin(np.cos(x)) + np.cos(x*.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because we trust in the DMD power, we add a bit of noise and we plot our function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6f7daaffd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 10, 64)\n",
    "y = myfunc(x)\n",
    "snapshots = y\n",
    "plt.plot(x, snapshots, '.')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we create the `HODMD` object: in addition to the usual DMD parameters, we have the `d` parameter. Basically, using this method the initial snapshots matrix is rearranged in order to be able to extract the main structures using the singular value decomposition. This parameter `d` handle this arrangement (for further details, check the [HODMD](https://mathlab.github.io/PyDMD/hodmd.html) documentation)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "hodmd = HODMD(svd_rank=0, exact=True, opt=True, d=30).fit(snapshots)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Despite the arrangement, the shape of the reconstructed data is the same of the original input."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 64)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hodmd.reconstructed_data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As always, we take a look at the eigenvalues to check the stability of the system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7+Bm3rr6VrMQsshKzuGLqFUwaMal/Kw4S+1wMPVJ7BfJW/GDfYn8VuEMp9RIw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\nEWvsxhhjjCLW2I0xxhhF/j9YRD45PdttjAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6f7daaf940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hodmd.plot_eigs()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can compare the DMD output with the inital dataset: we plot the snapshots, the original function we are trying to reconstruct and the DMD reconstruction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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a5IXcYrM+baF2nab0pCam7P1Gh2JXktJyDLnA0ByfY9TpdSAeNQbD2W20rLOA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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6f4bd8c898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hodmd.original_time['dt'] = hodmd.dmd_time['dt'] = x[1] - x[0]\n",
    "hodmd.original_time['t0'] = hodmd.dmd_time['t0'] = x[0]\n",
    "hodmd.original_time['tend'] = hodmd.dmd_time['tend'] = x[-1]\n",
    "\n",
    "plt.plot(hodmd.original_timesteps, snapshots, '.', label='snapshots')\n",
    "plt.plot(hodmd.original_timesteps, y, '-', label='original function')\n",
    "plt.plot(hodmd.dmd_timesteps, hodmd.reconstructed_data[0].real, '--', label='DMD output')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Quite good! Let see if we can see in the future."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2035ko3aJCWFnJ5uLJCQkMGXKFKZOncpzzz13xrgxY8Ywe/bss8Z47LHHTl13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\nCCGEEEKIAPf/AfsM6O8jZMwOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6f4bde3c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hodmd.dmd_time['tend'] = 50\n",
    "\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.plot(hodmd.original_timesteps, snapshots, '.', label='snapshots')\n",
    "plt.plot(np.linspace(0, 50, 128), myfunc(np.linspace(0, 50, 128)), '-', label='original function')\n",
    "plt.plot(hodmd.dmd_timesteps, hodmd.reconstructed_data[0].real, '--', label='DMD output')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The reconstruction is perfect. Also when time is far away from the snapshots.\n",
    "\n",
    "We can check what happens  if we add some noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qwZer/y3r0IUQtZJDCjut9UmtdX7Fv38B3JRSAY7ou0oMRmgziPTk39BlZQ7t\nenXCh1iVIinn+mqdpdfL8gB+Vs2yvYtsHKEQQghbqzH5EfhVteHf/n509djg0DNfLYFm/hm0BaPB\nm55NBjG0Q1VWoJeLTc7kZFEApdqdHN9DbE46YodIhRDCuRxS2CmlmiqlVMW/u1f06+TDcCq3NKA5\n1zXy5qMfZjt0RK9nQRKDTirSiztXad3A+dw963GPdwhhJw5A8SkbRylE3WM0GgkPD+eaa64hLCyM\nd955B2vFGp2YmBiUUsyePfvs9QkJCSilePvttwGYMGECwcHBhIWFERoayt13301amm3W8cbExLB+\n/fpqtfH666/bJBZxdWpSfmxxTR/m1fejoV98tfJUlRVm0+Dw70zqcCuzhv3nqpqIDvHH3WTCI78N\nG73c6GNwzFFKQtR2kiNdi62OO5gPbADaK6XSlFL3KaUmK6UmV1wyBtiplNoGvA/8RbvoAXru5mEA\nxCX/6LipJlnJDDy2m6eCx1XpiIOLub/H09yWk8XS7z+X6SZCVJOXlxcJCQns2rWL5cuXs2TJEl59\n9dWz73fu3Jlvvvnm7Pfz588nLCzsT2289dZbbNu2jcTERCIiIhg4cCDFxcXVjq0uJq2apjblx0Ed\nO9NWe5Drd6LaeapK9izmgBHKOo266iYsgWbmTYymZ+hYThsMHDmywIYBClF3SY50LbbaFXOs1rqZ\n1tpNa91Sa/2J1nqm1npmxfvTtdbXaK3DtNbRWuvqfcp2tDszgBbFUOST5rCpJru2/JdjRiMtrx1b\n5XUDlYnX7TmKD7v2LZIz7YSwocaNGzNr1iymT5/Omf/2DgwMpKioiGPHjqG1ZunSpQwbNqzS+5VS\nPP744zRt2pQlSy7cwOG3334jIiKCLl26cO+993L69GkAgoKCyMjIACAuLo7+/fuTkpLCzJkzeffd\ndwkPD2fNmjVMmDCByZMnExUVRWhoKD///DMAc+bM4aGHHjrbz4gRI4iJieHZZ5+lsLCQ8PBwxo0b\nZ9PPSpSrTfkRoF9AZ3a6Q3vPww7rs3jnQsY1b86bab9Wqx1LoJlXh46igXLjt9xEKCmyUYRCCJAc\n6QpsdY5drREd4s/67Y3YW+8Y9d3yHDLV5LVDS9AtA/mqQWubtBebkkucfysSfQ5Tsq/kis/5EcLV\n3bP0ngteuz7oev7S4S8UlhbywIoHLnj/prY3MartKLKLsnki5ok/vffp0E+rHENISAhlZWUcP378\n7GtjxowPV+kRAAAgAElEQVRhwYIFREREEBkZiYeHxyXbiIyMZM+ePdx0001nXysqKmLChAn89ttv\nZ6ejzJgxg8cee6zSNoKCgpg8eTK+vr489dRTAHzyySekpKSwadMm9u/fz4ABA0hKSrpoHP/85z+Z\nPn06CQkJVfkIRB3WO/RmPsmMZ+POeQxq8ob9OyzIYn36RvIa+9O3Vd9qN2cymJjS5haarnkPDq6H\nNgNtEKQQrkFy5P+rqznSkccd1AiWQDPDO4+gyGDgxd4H7F4Q/bZ5CTsNZUT7hV3+4isUHeJPWWF7\n8oyKUJ94OdNOCDu77bbbWLBgAfPnz2fs2LGXvb6ymXaJiYkEBwcTGhoKwPjx41m9evVVxWIwGGjX\nrh0hISHs2bOnym0IcTHhIcNoXQYn0x30Hzp7fmaptyf13Xzp0ayHTZq8sdvjRJVoElYukBktQjiA\n5EjHkSd2lRjV6168P/6Afmb7TjWJT83m8zUfgD98u6s7fbpl26SQtASamTTsER6In8CAdnvlaZ2o\nNS41euhl8rrk+2ZP81WNPp4vOTkZo9FI48aN2b17NwBNmzbFzc2N5cuX89577112Tv/WrVsZNGjQ\nFfdpMpnOLkYvKrr09LGKfTj+9P25919JG0JcjJvJnZ8DBqB2LYKyEjC62bW/43FfsdLbm27+/XAz\n2Kav+KOn2WVsh09GDC/MjnXsekEh7EhypORIeWJXCW+vBoxq3APzgTV27Sc2OZNM34O0LVQcLQq0\n6Xq+a7tE0Umb2Fm412ZtClHXnThxgsmTJ/PQQw9dkBymTZvGm2++idFovOj9Wmvef/99jh49ytCh\nQ//0Xvv27UlJSTk7LeTzzz+nX79+QPmUkvj4eAAWLlx49h4/Pz/y8vL+1M6CBQuwWq3s37+f5ORk\n2rdvT1BQEAkJCVitVg4dOsSmTf9/VqebmxslJSVX8WmIukq1HYQ+fZLSQ/Y98zUhcT/bsrdSaFCs\njG9ms6drscmZzDEbme9vpUlpusOObRCitpMc6XxS2F1EZmA0X5dmkGPH6SZh9VJJdQef/GC7bB3d\nq357tnOavNyDNm1XiLrkzMLpa665hsGDBzNkyBCmTp16wXW9evVi1KjKd+2bMmXK2a2cN2/ezKpV\nq3B3d//TNZ6ennz66afceuutdOnSBYPBwOTJ5RsnTp06lUcffZSoqKg/JcWRI0eyaNGiswvDAVq3\nbk337t0ZNmwYM2fOxNPTk969exMcHEynTp145JFHiIyMPNvGpEmT6Nq1a41ZGC6cL69FJMNaNmfm\nxul8uCrJbtMZs+MX0r+wgEYHh1OcF2yzAiw6xJ/ThZ1I9HCnl+dmWa4gRDVIjnQtykV3VQYgKipK\nx8U556yZHUlLuGPd0/yr+VCGXfeWfTpZ+x8yVr3Kt5Hz6da5h82ngqTvW0bBN3cQPHImquutNm1b\nCEfYvXs3HTt2dHYYNcaECRMYMWIEY8aMcXYol1TZ71UpFa+1jnJSSDWOM/MjwIhPw6lXZCX24Bu4\nmwx2mc6Y+9+byE37gwHF7+JmMtq0jwXb1zFt62SmljZhzH0rbNKmEI4mObJq6kKOlCd2F9Ep+Drq\nWWF9+kb7dbJnMQGNuzB5+FC7zO9v2mYwIaZ6qP2/2bxtIYQQdVeoaslezzJ8yLbP0UCn89iVE8fc\n0A48NDjQ5oXj6M7R1FNubCtKkWMPhBC1hhR2F2E0mgg3+rOhOIO45GM2bz8rYw+TSw6wMzja5m2f\nZTASF9yNfx2NQZeV2a8fIYRLmDNnjsuPRIraoUfroZw2GLjGd41dlhKQtILvvD1YoTJ5eEBHmw9+\nGg1Gepg7kuBugtR1Nm1bCOGa6kKOlMLuIuJTs0k/Fsgxk5E3vvjQ5msIYrbOYp23F6bgfjZt93xJ\n5lZ87uPGRz99Kds6ixrJlaeLi6qT32ftMOraCXhaNa2aJtllGmbh7h9Z7ePNoKDrMRnss4H3833/\nycL0LNi/0i7tC+EI8je1dqnu71MKu4uITc5k38k+KK1p4bHF5tNMVh5ZT3MrtG8zzKbtns/ffD0A\nsXsXMW52rBR3okbx9PQkMzNTElctobUmMzMTT09PZ4ciqsnD3ZeH3Jpzc8FxLK0b2LbxshLWHvqd\nQqUYEny9bds+R0D9VpxuFMHxHSskN4oaSXJk7WKLHCnn2F1EdIg/H6xswcwUTxrqI5TYcJrJ+j17\n2KDzGeEehDLYt7bemxdCoxIrZT4HKckuXwch5/WImqJly5akpaVx4sQJZ4cibMTT05OWLVs6Owxh\nA+Pb3waLn4TM/RDQ1nYNp6xluTuYTT5ENbHffjrxqdnMPGWig1s6X83+jZkTB0l+FDWK5Mjap7o5\nUgq7i7AEmpk3MZrSlQPpkjoLFWC9/E1XID41m+k//IvipoqElGuIT7XNoeQXEx3iz4Zd9TjodRJ3\nk5ZtnUWN4ubmRnBwsLPDEEJUps1AktzcOLnjCyIHvGK7dvcsxhsjI9veZLdpmFA+MyfR5MHOer6E\nHd9JbHK4FHaiRpEcKc4nUzEvwRJoJrjvdfytSQCrE2bZpM3Y5EzCrfuJKijhj/xedj8Y1RJopk/r\nHtTTZXwy0iRJSwghhG00DGFq02a8eWix7drUmuJdP3O3tRMDm062XbuViA7xJ7soknyDgTbeCTLw\nKYSo8aSwuwxz6z5s9fQk5uAqm7TXs7UPDxbtYeiRDhhN7g5JJJP6PM7PaUfpZT1g976EEELUHQPq\nteUPXUT6yUM2aW/3ltXkFR1jRnp7u68LtwSa+c/NfwGgYUCaDHwKIWo8Kewuw83Nk56mBqwpPIK2\nVn86ZotTMSjDabzCb7HLTmKVUeZAaBAIKWvt3pcQQoi6Y2CbEQB8s/6/fLgqqdqFWHbCAm5o1Zyl\n5nz7nI93nkGhbQky1WO7NQcKc+zalxBC2JsUdlfg2qY9SDcq9h9YUe22/rPjv4xs1YIRN93m0NHB\nz5oFc2v+VjnPTgghhM0EdxhN65JSlh74jXd+TazeUzatSS9cTYHBQFFBJ/ucj1eJgc2iaVBWBgc3\n2L0vIYSwJynsrsC1Xe4E4PN1c6o1Gll8Op+Y4uP09myGweRho+iujEdAKHvcjKSlyHk9QgghbEN5\nm+le6sMJz5NYKaneU7bjf7DUVEATox+PXjvEYbNaHu/zD/6RfcrlZrXEp2bb5CmoEKLukF0xr8Dh\n00H0y9OYC/YxbnbsVSeb2IRPyDcorquYuuJIUaGjIG0pcft+pFWb6xzef2XiU7OJ2bOd5kU/cKDo\nMHmefRkTfoescxBCiBrk1saDeXz7xwygiFMmj6t+ynZs+1fEenry19BRPNg91MZRXoKbJ7TqTknK\natwc1+slxadmM252LMWlVtxNBocVuUKImk0KuysQm5xJ+3QLDxh/YF5pzlWfBfdT4g/4Wq14+N9i\nhygvLaRlLxpaIe5EAjc7vPcLxSUd5o0ld7O33vH/f7HoD0oWfkVaxL9IoxHRIf6SyIQQwsV16n4r\nbJ/Bm13TMfe6/qr/bi8+sBjtoRjR4XYbR3h5f/MqwVRwlA8Kc8DLxgeuX4XY5EwMpYWMM6ziFrUO\n/WsUK3v1Z0CnsSilnB2eEMJFyVTMKxAd4s9y1ZPTBujr/ftVjUZu3H+EdaXHaJPvy91zdzp8aoVS\nis7GhsQVZxGfYt/F6JelNb7LHqO7TqJfjgdBKTfgn/g3+mQ05qH8fVwTcx8f/brN7juiCSGEsIEW\nkWxr2Ir/lcyjZUDxVTWxc3sctx1N5sX6gwisF2jjAC+vSYNg4j09KEtd7/C+KzOseAk3NX8WY7Of\n8VanOZHzC4/GvcH4udH8c8mvkhuFEJWSwu4KWALNTL3vNiY0b0V6y81XNRp5dOtvzD16DDKvdchO\nX+eLT80m/2ggg0/l8/In3zgtKcSnZrNk3t/pcOJX3DOuY0n6KyQW9+OIIZhlGU/w8unHCTAcZVDA\n+5SUljr8cxJCCFFFStGgzSB26CJ+SlxQ5dvjU7NZ/u0sfLXmw/huTslPUcHXk2c08OO6Bc4vmhKX\nsmz3v/i5ngeH/QexedgvpHX+momqE0nWfBYencK4T1c4P04hhMuRwu4KWYIacl2jLmw3FHP0+M4q\n39+ncCXNik1sOX2tw3b6OldsciapOf2ZkpVDpDXRKQVTfGo2z81/nbdOf8UiY2ea3PAiTwzpwPxJ\nPZl/fzRPDGnP0BvHMs2zD6sCsojyny8HxgohRA0Q2PVOIouK+GHvArTWVbo3NjmTkvqxvOUbzOHS\nBk7JTx66EwC7c7Y6d7ZIziESFj/Axw0aMCJoGJN7vcXfF//Ba6tz+GDPeIYf6kSpoYzWDeeycEua\nbK4ihPgTKeyqYGjYfQAsjf+wSvcdy0zkzbw1JLYfxoNDujhlEXR0iD/ppqYc0mbaeexySsG0aW8q\nBv9f8LIqXit4gOzCUh4c0BZLoBlLoJkHB7Tljh6tuePW2YSXuHHQfxuB7qkOj1MIIUQVtYxiVKk7\nKaez2HZiW5Vu7eZ7gG8blhHj4e+UgU+AvUeM1Ct254hXPobSIufMFikt5ti8cTxb35OGHgE83/Ml\nYpMzKS61YtVgtWo+P30Xg3NN5PkeYMPWtdU/YkIIUatIYVcFrYIG0qVMseTYpird933sWyzx8aJx\njzvOFjKOZgk0M29iT15p3YxvWxzF0trxi8MNJz/ksLsBdXwgp0wNL5q8o0IaM+36DylSipeWPC4J\nSwghXJ1SDAkejpfVyveJ31Tp1i0pH1FoMNAn5GGn7f4YHeJPo+xwRpw6RZRpv1OKyyM/v0ZG7m5O\n4M3R5NvYe7SU6BB/3E0GjArc3Qy8fFM4oW3f5JujufyTOVg1TlneIYRwTVLYVYVSDPUPZ7cq5t+L\nf7qigsNqLWPR8U30sLo5/ZgBS6CZns26csCkyDq23aF9FxRm81XuBrqWuTO05yOXTd5Z1g70ymnA\nWmMGf/3sCynuhBDCxfl0GcPknFy8DuZf8d/sgoJM5uXtpZ+xAc8OH+W0nZAtgWZeGfUS158q5I2o\nU46PozCbgB2zOVgYTmbSixTntz67A/e8ieVLFeZNjOaOHq25f/j16Mgn6G7YQ1f3rU57yimEcD1S\n2FVRuxZ3szDtKIUbllzR9IcFv8/gsEHT17+/YwK8DEvI9QBsTfzOof3OW/oCGUbFbcH38dDAdpdN\nmrHJmezPuIVReflcb90so5FCCOHi4svaMCzHDcueHVc8PXDRun+QYzRwX+f7HBDhpYWHBpHatAOn\ncmId3/mm/7LHVMIMRmHE7U/F2pmlCufmzdYDJzG1cROsQYvkjDshxFlS2FXRlrwgMk+3Y6JxMaq0\n8JIFR3xqNt/98Tn1yqy8GxftEk+drmlzA+5aE390o8P63JJ8jBsSlvJCmjvPrAy6os8hOsSfFNWB\n64835xHranoG+jkgUiGEEFcr9kA2P5f1pLtxO771f2DF3sRLXh+fmk29PbGMKVJEhI13UJSX9oCP\nlQ8Kk6Gs1HGdns4ja+MM7mvejHb9M88+nbtksebhS6dm3Ug1FuNL1dY0CiFqL5sUdkqp/ymljiul\nKt0uUpV7XymVpJTarpSKtEW/zhAd4s8MPYr3Ghnp0njOJac/bE1Mpl/xMTrn+nOyxMclnjq5u3nS\nxeDDllNHHNZnzoY5tFCZ/HLqFkpK9RV9Dmemn2R3nUSmRz6GY/McEKkQQoirFR3iz5dqGNlGA6X+\n6zlQ9u1Fr41Pzebl2d8yMnMXXoevJf5gjgMjvbhu5g7Eu5soO7rVYX2mLZ/Ol+5lnAYejLrzitfi\nD732BUxa8+Omd+0fpBCiRrDVE7s5wNBLvD8MaFfxNQmYYaN+Hc4SaObR++4n170BqQ2SCQkouei1\nN2V+wl9zcjh4YqxLzYF/oNkAphxPh7xjdu9LW638r/AL/uUXxDrdtUqfgyXQzIib7+TZps15Z89n\nUMUttIUQwtnq0sCnJdDM2xNHcKrRMO7Oy2fdsWXsytxV6bXf715Hw4DPyNdGvi251iUGPgG6BQ8h\nz2hg797FDulvy/4j6LgZfF6vAWX515Cdc+VTKhs06kRfk5lf8pIoLXT+jCAhhPPZpLDTWq8Gsi5x\nyU3AZ7pcLNBAKdXMFn07gyWoIU/2eIIiBZ/GPFfpNb/Fz2D7oe84cc09jLjuOpeaA9+94xgsp09D\n6jq797Vl+1y2uUGDdoN4YkiHKn8Oymjklma9STCU8f4Pn7nEdFYhhKiCOdSRgU8oL+463TqV+3Ny\nMBvcmbZhGpmFfy7aMgszWZ31Jhk+GSygNydNZpcZ+IwKGgzA6tQ1DjkjLmfjPH6vZ6XAqCnO6Fvl\nAvfGTneRYTQQu/4tO0UohKhJHLXGrgVw6Jzv0ypeu4BSapJSKk4pFXfixAmHBHc1QrqO4warB1+e\n2MRbS3/70x//NYlJvLL9I/7XMIDGN77qtCMOLqpZGGt86zNvw3y7J62vd83Fz6q5a/CLV/05hLS4\nB5PWrE/5XM7rEULUKHVt4BMA/zb4dbqZl45nkJi5j78uexQAq7ayM2MnT8Y8yaniHN7KKaGs9ysu\nNfDZ1KcpLfBgS2Ea7/y6x+45p3v2YmI8G1BW2ApjaVCVC9w+YRN4q9iLqANVO4ZJCFE7udzmKVrr\nWVrrKK11VKNGjZwdzsUpxQ0hf8NNW4k78DgPz15GfGo2P+yK4x8rx3NSaQxHr2frsTJnR3qB+LR8\n/lmvIT+V7bZr0vp9VwLLSzIY7NYCL++GV93O9syGhJ8ycbBeOiWlpS4zZUcIIWyg1g18Auxqez/X\n5eUw9mBLdu7oz5cbD3LP939n7OKxbD2+haknMvCJfJ6JQywuU9Sd8RfTEN7IOE4bDtv3jLjje/A9\nsZWXW9/FfW1fu6oC193oztDQW/FM2wwnj9onTiFEjeGowu4w0Oqc71tWvFajbdf9CU0dymsZx/lK\nvciHS+/ipc33kOOZw8iMeqwvGOiSRUhscibeBY1J8tD4lZ2wS4zxqdnMXPYqpUqxJblPtYrH6BB/\n3PPbU6Y0gV6JLjNlRwghHKnGDHwCMdkBfFk2iGfKfufl07/w6g/bWLutJY2ODuTHlAwa5gUzbFVT\nl5yBYQn7Cw2tVnoZ/rDv+vitn1NmMNG6/708OTjyqgvckg7DmF2/Hh/88HeX/DyFEI7jqMLuR+Du\nikXi0UCu1rrGDy1Fh/izsWwwTxc8h7c6zU15W7gxR9E75ToWZk5xqQ1TzhUd4k9+YRdOGwx08tlo\nlxhjkzMZV7CfOzJhd2F4tYpHS6CZSTc8x5rUND6LOO1yo7tCCFENtXLgMzrEn79zHzNKb+QO02/8\nz/QGX1lnsrJoDmar5sWSe694l2RHu6bTNcwOaEloqz32myZaWkzBtq8YGhjIj8c2VKupbYXN+aJe\nfeJOrpflCkLUcSZbNKKUmg/0BwKUUmnAVMANQGs9E/gFuAFIAgqAe2zRr7Od2ZL/PysaMjzpDfwz\nc0kkiNu7t+ahBl5Eh/i7ZBFiCTTz3JgHeXjdMroEptolxgH1j9KpNJW4zPG4mYzVLh4tXcIhNoqW\nR34FXrBNkEII4Xw/Ag8ppb4CelBLBj4tgWa+mNiL2OT2bMwIp8fO10jTjXij7E6+0/3JwttlBz8N\nBiM/1veheeEhxrVuYJ9O9i1juaGQdLxp4VvpzNsrtvFAFo1OBbDX7wS+pZnEJme65H97CCHszyaF\nndZ67GXe18CDtujL1VgCzTw2OJRxKVlklJpxMxm4JbKly/9R7dsuhI7rPUk+fejyF1+FgymzKPby\noWWv8cxrH2KTz2NrcHemHfiOD9I20rJlDxtEKYQQ9lVXBz6hPD+W/+1/koSuo1h3uIwhbRoxhPJZ\nHa46+AnQu2EnFhzfTFH6djybhdm8/Zx1/+Pbeg1o4tWSyMbVO+EiOsSfRRujyK+/jGv9VhEdMtxG\nUQohahqbFHZ13Zknd66eqM43PfBmzDH/gvwT4Gu79RolJYW8nruV7i3a8PYQi83a9W8/gqTDP/P7\n9k8ZJ4WdEKIGqMsDn+cKb9+G8Pb//72r58leISP4IiOe+N0L6G3jwm7b7kT80teQ0KoZZYe6sOVg\nTrU+D0ugmaljHuHhtUsJbpro8p+tEMJ+XG5XzJrKEmh2vWMNLiOg7VCMAClrbNruhi2zyDYoRoTc\naNN2W7fqTZDVwOrjcTZtVwghhDhXVNsbcNeadUeqt/6tMifjvuFnP2/QiuKcCJusM+zTtjXdPRpT\neuoIFObYIEohRE0khV0dppt25Z+NGjNv95c2bffnpEU0sFrpbfmbTdsF6FevDZspYvqvG2WBuBBC\nCLvwcvOmh8lMXv4R0NqmbUecXEGb/AYUHxuJiQY2W2f4ce83eD4zE/b/ZpP2hBA1jxR2dZgyubHL\ntwG/5O21WZvr9+xlZXEG/UzNcfPwtVm7Z7Rp0J8SpVgR/6ns/iWEEMJupne8n7+nH4EM2+VIspLx\nPZFAWNgdPNL9HpvuuqlaWMCjHtb9MTZpTwhR80hhV8d1N3dgl8FKflZytduKT83mk4X/wUNb2X0w\nwi5F1xHdj6F5hUSU2fngWCGEEHWaIbgPAPrAats1uuNbvvf1IfOaKNsv3zCa+Fuzlkw5ulIGPYWo\no6Swq+N6tLmBMqX435IPqp0IYpMzGVf0B/NSC9mWf61diq7odq0ZdaIptxcfcNmtsoUQQtQC5iCe\nbt6KJ/6Yy4erkqpfLGlNwfaveT0ggO+O2nZtO5QPrqbl+bLJXfP07EVS3AlRB0lhV8eVefXHzarZ\nc6L6B5v2aFrKtYbt/FrWC5PJzS5FlyXQTGDUDfi5H+HT25rUqM1qhBBC1CBKgWdjNlqzee/X7dWf\n/p++nd9OH6FQaW5sY9vNxaB8cDU7P4wco5H2butlRosQdZAUdnXcltRTtDvlR3t9AkqLq5UIdhz4\nDze3aoxH9zE2XTdwvqL2XRjaqgUnMr6zS/tCCCEEgNnNQp7RQHuvDdWf/r9jAT/6+tHCpxkRjSNs\nF2SF6BB/Mk53A8DPd7fMaBGiDpLCro6LDvGn4bEbeDQ3k2hTYrUSwU/HYmlg8GT8jTfb9UlaSJuh\n1LdqNh+NtVsfQgghRN+I+3C3aurXi6ve9H9rGUd2fctGTw+aGvuy9WCubQOl4kzde4bQzOrOSZ8s\nLK3q27wPIYRrk8KujrMEmpk0/l5KlDvPd0696oIsMWkp+wxljGzW08YRXshgdMNiasDmonSbb0Mt\nhBBCnNG7QweitTdp9TL4/L5uVz9ombyK/cXZmMo8WLMl2G67OlsCzUxsPZDBeblwbKfN2xdCuDYp\n7AQRbVvweFAb/p5/9Yu5f0r4GJPWXN/9SRtGdnHdGodz2Kg4mmb7w2OFEEKIM+5sPZh7crLp6pt1\nVffHp2az99dZWIrdKEh6jrKSBnbd1fm2bk9wS/4pOPC7XdoXQrguKewEAJ0DurDNaCUjbXOV792c\nnM7ik3uJ1r6Y/dvaIboLdQu9GYC4Pd86pD8hhBB1U8+I+xh/Mg+PqzgfLj41m0mzV1LvxCq+K+6O\n1eiNUWHfXZ3rNeN4o1BS9v9qn/aFEC5LCjsBwKDOd6KVYtWOOVW6Lz41m5mffsLzGZmcOhLlsO2V\n2wX2518ny+idc8Ih/QkhhKij/NuQ3zCEnxMXUGItqdKtscmZXGfdwNTG9Xm/WT5jLC15Ykh7u24w\nBjC+nuLdU4lQVrV4hRA1mxR2AoC2rfvSyqr49ejGKp3XE5ucySjW0O2Ugc35gx22vbLBYGRY0x40\nPBgn6+yEEELY1abW4Tyn05n6y9dVGsCMDvGnj+fvrPf2Ir+oM7dEtrT9weSVsJg7sMXdxDc//STn\n2QlRh0hhJwBQStHdsw3xhiLmr/jtihd2t2t4lGT/PXxDD7TJw6HbK2c0D2OeOslHixdL4hJCCGE3\nTRrdiF+Zldjkr6u08YnFL4e99Y5hQPH+iMkOO3u1Sb1e5BiNbNr+o902ahFCuB4p7MRZ9Xzv4M1j\nmdxmWH3FC7sTkt5jTgNftGWc3aeWnG8TTfmnf0N+31m1RCuEEEJUxeqiDvQuKCHPN5WSssIrnp2S\nG/8J39TzY1DzXgwODbVzlP8v/3QXALy899p1oxYhhGuRwk6c1a/rYAwFHbnDsBpvk/WyT98K8o+z\n6OQerjM24K83jnFoUQeQXNQVH6sVd+9kSVxCCCHspnvbptTPvYYio8bff9WVzU45nc93e77ilMHA\n5Kgn7B/kOa5r15H6JUayvTJxMyk5rFyIOkIKO3GWJdBMwOD7+bKh4l+9d162UJu77AXyDYrerSc4\nJsDz9GzbjMAid7I8c+27w5gQQog6zRJoZtSNL3NtQSHhTROvbCBzy2fcnXmCTyKfIdTsuKd1AFFB\nDXmu6Qieyz7Bt7c1c/jAqxDCOaSwE3/SrvtIFtSrzy/p313yus3JR/kpaz2BRQaeWdHcKdMgLYFm\nLA3bc8gd/je2tSQuIYQQdtO5SwRv+1zDx8fSoKz00heXlVC64UOMgdfSrcudjgnwPMO730mL0jI6\nl/7hlP6FEI4nhZ34E28PX+7wjyBGFZF0iTNw0jd+QUjpaYxZPSgp1U6bBtm33SAU4Flw9YerCyGE\nEFfCp9tE1MnDZPzxLQUlBRe9bvOKDxla38o3Lfo5MLo/KzEH803DRsQlL3FaDEIIx5LCTlxg7LWv\n4Gm18t6qV4hPybrwgvwTXH/oEx5O92TnyZFOnQZp6Xgb6w6lE5mT7pT+hRBC1CGhwzhWvxnDtrzO\nvN3zKr0kNjmddw/MJtNo5OUNLZy2sZfR5Mb79X35KWunU/oXQjieFHbiAvvzzASfbMFa00m+++LR\nPyWlzcnpTPviBtJLcym7aQZPDOno8N0wz+XmVR/fpmFwMNYp/QshhKhDjCaahI+n56lTfLD1Az7Y\n9PWf3rZqKx+vuZcdXor26eGUFDVw2owWgzIQ4d2cLRTBKdlcTIi6QAo7cYHY5EziMybQpsCLKWU/\nc+MWHukAACAASURBVHTzIgA2HjjOnO/HssCriKfdBlHo39khB61ezuomwTxUvJ+y06ecGocQQoja\nL6HFWP523ERYYQmz/niNdzbMPfveK4sfI45DjMj0IS73dqdv7BXetBsp7m5kJf/mtBiEEI4jhZ24\nQHSIP26Y2X3oOQ5bA+m35wUe/TiSKasGsto/g8BTfmzO+ovLHC9w0hzI716eJO3/xdmhCCGEqOXW\nHS7l0eIneDc9i/ACxZy9b5NZmMm2nTvxSlrCiJwylmQ+ye3dg5w6owUgss0NAGw9sMxpMQghHEcK\nO3EBS6CZeROjeWBIV/YNmMU/fFoT41FC80Ivrj8Syt5DT+NmMrrM8QIR7W8GYOuB5U6ORAjxf+zd\nd3RVVfrw8e+5Lb33HgJJ6ISEEiKdUBUQUFFRsTCWQccZx5nReWfU34xdxzLqWAZ1UOyNJr0XCSX0\nFkgnCZDe27255/3jgBBIIOXcQtiftVgJ956z94647s7e59nPIwhdXWKUD7nacP5qnM8nhTnMq9Ni\n/nwGMUtu5I7KanaeeZwqszPBnk42j2jpEzAQBxmyi0VmTEG4HuhsPQDBPiVEeJEQ4cV7G9P5tvBv\nmIsa2S07EjUknMc9nUiM8rH5hHVesF8f/Mywv+Qot9t6MOek5pSRklliV/+dBEEQhM47v/mZkhlN\nQaM3D2T8SEmjIzW+w/hb3hByCLV5COZ5Bq2BLUFTcd75ERjrQO9k6yEJgmBBYmEnXFFilA8GnQ6j\nSYNep2FWfKjdLVQkSaKX1pt9xiJSs0tIiLTtZJqaU8YjC9bRx+1rUo5m4egRgp/XHczqO9nu/tsJ\ngiAI7Xd+8zM1Zw4Tt3Wn0WTGoNPwzE19GFbbaFebes4Rw2HHe1CwDyKSbD0cABqbGjlRdoKVJ/aQ\nVlTE/f3uIikqyNbDEoRrnioLO0mSJgFvA1pggSzLL1/y/r3Aa0D+uZfelWV5gRp9C5Z1YWfSfp8+\npeaUUVYYRJhrAX//5Bv++cAdNhlnak4Z29ML6H/sDbZolvCF3pGfDO5UNWawq+hFzny7mOSRr1Nm\nZ5O+IAiC0DEpmSU0msyYZTCazJTVNjJ/TA9bD6uZU16hvBTgR9Kmz+g1upfN554jxUf4zeoHqDJd\nSHi2Y+0mPpnwKUO7+dtwZIJw7ev0wk6SJC3wHjAeyAN2S5K0VJblSwO6v5Fl+dHO9idY3/mdSXuV\nklnC6ZLxbKxeyd+a0knJLLH6eFNzypjzyXpCg/7FWc5QJg9jcdEkjhdFkiDtJyD0W3b7H6Nu0/9j\nZ/ntGHQamx+qFwTBOsTmZ9elRLVoMJrMdhN+eanMKg+2OjvhXrKX5xek2HbuKT6JZslj9DCVcEdl\nHT3qTWQZJNbqXdmycx97sruLjU9B6AQ1kqcMAdJlWc6UZbkR+BqYrkK7gtAmiVE+nNYFUSR7kKA9\nbpOJNSWzhEC/BZQ6VmGo6cbuuBeYNH4i/5jejwOaePafepaJ5TpeqV9HCGcxmsx2k1VUEATLuWjz\nczLQG7hDkqTeLVz6jSzLcef+iEXdNeJ8VMsTE2LtdrPu8Ckjvg16ip0qMJlMNpt7TDXF8OVsepVk\ns7DvYwRN28zdjf/mRNUEnq3I4uZjT/Duhm3MWbDNZkXdBeFap0YoZghw6qK/5wFDW7huliRJI4ET\nwB9kWT7VwjVIkvQg8CBAeHi4CsMTujplYh3GC2vCKJZyWWSDidVDt5kSt3xuKdHyQ/XjfJoQ9usE\nHxvoRkpmCSHS+3hunMHb+ne5R37GLnd2BUFQ3a+bnwCSJJ3f/BRpCrsIe49qSYzyYcWhIA67ZdNT\nl09i1HCr9f1rIrFIT77eOo0Aynhy9pfspScpmSX87qZEymrj+fbUKEaf+hMOwW9QVzidlEzbh4wK\nwrXIWuUOlgGRsiz3B9YCC1u7UJblj2RZHiTL8iA/Pz8rDU+41iVEeBEeEMURHTSUZlm17zpjLYsy\n3iHSZCak19t8Om9kswkpIcKL+WN6cPPoRHJHPc/rIdX8ps/XYtIShOtDS5ufIS1cN0uSpIOSJH0v\nSVJYSw1JkvSgJEl7JEnaU1RUZImxCl1QQoQX0wbcSI1Gwx+Gnrba3JOaU8acBSn8a00aS758mFVy\nFS49kkml56+v/2P5ERKjfBgwagYbGybQr7EeV5/VxEe4WmWMgtDVqLGwywcunoRCuXBOAABZlktk\nWW4499cFQIIK/QpCM3FhozBJEkdPLLZqv79s/QzZ1MBD/tOZN3n0FSfNvmMfwMPZj2/qDlFRnmvF\nUQqCYMfatPkpNj6FjpqeMIP4RjM+dSes1uf5xDK9yeS0z37czFoaDL/jx715zRLOnD8XP/DeN7mr\n3o1GfR3bcr/mvY3pIiRTENpJjYXdbiBakqRukiQZgNuBpRdfIEnSxTlspwHHVOhXEJoZEDMNgP15\n263WZ2p2Kf6bP+T9U0ae3jWsTZPQE0P/So0k8eyS34lJSxC6PrH5KdhcoGsQC90HEpd/xGp9nk8s\nM931a1KcnKgpGce/1+fy3Z5T6LQatBLNEs7ERwUy4fZFDKpv4PuMhfxr7WHmLEgR86QgtEOnF3ay\nLJuAR4HVKAu2b2VZPiJJ0j8kSZp27rLfSZJ0RJKkA8DvgHs7268gXMrHxZ9wdOyvzLBanykp79BD\nk8X7phnUmjRtOpRe6ZBEUpWezXI693y6SkxagtC1ic1PwT6ED6OuIhe5Iv/q16ogIcKLn6Y7sMf7\nLG6yA1WlwzHL0GSWuSUhtMWEM1JAL2aYo2jQGnFwOiESjQlCO6lyxk6W5RWyLMfIstxdluUXzr32\njCzLS899/7Qsy31kWR4gy/IYWZaPq9GvIFzqLq84RpcVQn2FxfuqqCtnYf33POMdzBLziDanuk7J\nLKGydBwmSSLGZamYtAShCxObn4K92OjkQFJEKFknllutz17H3uW5Gpnf9n0Wg9bx16d0s+JDmT+m\nR4tHF2Lj/8CqUwXMqj9jtyUkBMFeqVKgXBDsxR197oG9P0LebuiRbNG+ftjxAnUSTI6eS2Tf3m2u\nvZMY5cO7G8bwf6eXE1Gfhk5MWoLQpcmyvAJYcclrz1z0/dPA09Yel3B9iYoYg+nA2+w5tYmowQ9Z\nvsPcnZCxnqDx/+CuQVPp5XcuQ+ZV5srYIROo2dWbJ+rWc/OtfxWJxgShHayVFVMQrCN0EGd1egoy\n11u0G6PZyBen1jLUKDN2wpOt7jy2JCHCi0XzkggIvYehZJCgOWnRsQqCIAhCuGcUvrKW1HLrJFDJ\n2/RP5geHkBkzDriQIfqqc6Uk4TBiPk+71bA76xUrjFQQug6xsBO6FLPBhemhQbydtc6iZ9c+2bqA\nQpq40fMG0GjbfX9ChBejbnucRV4+fJbykgVGKAiCIAgXSJJEgnMwqXItH67Zb9nz3SUZ/FB2kG0O\nOpydfdt9u67vLEw6B1acWo8syxYYoCB0TWJhJ3Qp+3Ir8K1z4YRUxb0Ltllk4krNKWP9wa+JbDTy\nxoERHe/D4MIenxA+rjqJ0Vin7iAFQRAE4RLhrgM4q9Oxftv3Fss4mZpTxq7Fb/KjmysjgxIJdAls\nfyM6A5OChpGNkbTczaqPURC6KrGwE7qUlMwSqA0nw6AjSj5qkcQku9LP8J/iTOblBVJg8upUH9Mi\np1CqlXjjp9dEdkxBEATBohqk0fy+pJyBUrZFMk6m5pRx74Jt5JasoFSrZaDvzR1uKzlhPlpZZuXB\nT1QcoSB0bWJhJ3QpiVE+lNQnIEsSYa57LZJNK1mzC1+pkiWm8Z3O2OXmfweeTWZ2Fa0U9XoEQRAE\nixrbewhJFV6MkLMsknEyJbOEUeZdrHLXYjA6U1PevcNteQUNJLFJx+qSgyIcUxDaSCzshC4lIcKL\nN++8F4Ms4x9wWvVsWsYmI4/lvsVnvqEMGnfLZTV42mtXvome1S7kOldhaqoXpQ8EQRAEi0mI8MKh\nZxI1bqdYdF+C6nNkYpQPd+jW07tWQ13ZRJK6+3eqvTuDR3BHaTGmSuvU3hOEa51Y2AldTmK3AN5y\n7sODJfmg8i7fluPfk4+JiO7J/HZsbKcnxcQoHxprBpBQX0+c4aio1yMIgiBY1IEgH57098DdmKJ6\n2wmupdwgHSHJeyaf3/aHTs+RI+MfYW5lFduXLxIRLYLQBmJhJ3RJI7pPIbC6GErSVW13yZHP8DU1\ncUPiE6q0lxDhxe9v+TvvFlbwXu9iUa9HEARBsKhhPW8BYEfGz6q33bT3M9a6uDBw+sOqzGepdYEc\nkgI5mfuTOK4gCG0gFnZCl1QXEs+3bq4cOf6Tam1uPJHBltpTTMATnVeEau0OjA5HFz0OQ/4a1Z8w\nCoIgCMLFAgMH0t0k80vJIXUbNpvZcfw7nvD3YUulOrXyUrJKecMtjHeDanA2nxHHFQThKsTCTuiS\nNL7RvOrjxc+561RpLzWnjBeXvkSTJJFXMFD1XcNlQVGM8pLIy1yraruCIAiCcKlhjoGkNlVSr2ap\nneytLNHU46F1YlToKFWaTIzy4WzdUMySRH/3jeK4giBchVjYCV2Sg86RAVp39tTmg9nc6fZSMkuY\nVnua3xdXsbV2jOq7hv16zkKWJLYd+07VdgVBEAThUsOChtIgSRzIWq1amxX7F7HBxZkbu0/FoDWo\n0mZChBfP3vE4zmaZEP8McVxBEK5CLOyELmuQXxzHdRL/W/pDp5+wDQt3YW7TXrzL+9Coc1F91zAi\nMJ5Qs8S2kgOqtisIgiAIlxrS+3aW5hVQu+uYOhEojbWszl1PoyQxPWZW59u7yNAof4Y4+JNqLkM2\nNaratiB0NWJhJ3RZ3l7jkSWJvce+6fSh67MF/+WoUxOauDs6XeKgJZIkMcI1kp3mWhrqxOFwQRAE\nwXKO1IdgaPTEmLZWnaQkx39mjx6iXULo5d1LnUFeJCkokXydlo+XfCoSqAjCFYiFndBlnamJxWAG\nX0MmRpO5w+GTJrOJVzN/4itvP6bPuMNioSDDI5Kp10i8u/QdMXEJgiAIFpOSVcr3up6sDcgFuaTz\nxwsOfMU/ah1J8vgne3PL1RnkRUL9b2fJqdNU79shsmMKwhWIhZ3QZQ3vHsQ9Of14ujIbL119h8Mn\nUzJWUoyJaYHDQKNVeZQXGDxu5KmicjRHD4uJSxAEQbCYxCgf9tGTVW5OdPPY3LnjBVVnMGVu5H9V\ng/nPhkKLzF8HC52pagzjBs2RTm3UCkJXJxZ2QpeVEOHFpMn3oJea+GZ8Y4eftC09uACPpiZGDP2j\nyiNsLrVAJqoylAnycTFxCYIgCBaTEOHF72b/jqhGI16BJzoViVK3/wumhAbyubM3ZhmLzF+JUT78\n5BDFEr8SPHQ1IjumILRCLOyELi0qfiTzg4LYdubbDt2/Lf0U66syGWd2xRCg/rmBiyVG+bBR05OT\n7sX464vFxCUIgiBYTHxMBJN1PhxuKuVszdkOtZGaXcoP+xZyWqejtKkHWgn0Oo3q81dChBcRgwex\nxN2F50cWiOyYgtAKsbATujS93plyJw9WVZ1sd/Hv1JwyXv/6Q9ybmjh7Ns7ioZEJEV5Ej07k734+\n/CExU0xcgiAIgkVNCh+HLMGaEz+0+97UnDJe/XgRKx3qcW104W/jbuKJCbEWSTAGMDXxbgAKK7er\n3rYgdBViYSd0eWP84zmskziT277JICWzhDsbDvFjbgnbqydYJTTypqQ56GSZ/MrdFu9LEARBuL5F\n9p7F2JpaHEqy2n1vSmYJwwwrOejoQHXZcMrrjMwf08Nim5K+7qFEoie1/KRF2heErkAs7IQub2zf\nuQBsPPBxu+7rH9jIRM0O1piHYbRA7bqWOBlc6atxZU9NrsX7EgRBEK5zAf14u0bitor2R6QkhTlR\n5nESrRmMNcOsMkfGu3cjVTJirsi3eF+CcC0SCzuhy4sKTSQSPRvO7gZzU5vv+/nEc9wb6oUm/i6L\nhZa0JMGrJ0e1UFt8wir9CYIgCNcpjQZ6JGM6uYaC8vY9tRtYvYW7q8qZ7HwjX9w/1ipzZEL4GHyb\nmig+8bPF+xKEa5FY2AnXhbvCJ5FYXc6yn75o01m5kpoi1pQdY4jkwq03z7LqebdBkcmYJIljaUus\n1qcgCIJwneo/m8c8DMxfPQ+5PWfR939BD7cwXrrtJavNkVPjHmFpSR3+BQes0p8gXGvEwk64LkRH\nPM6MctDt/7xNNXZ+3PEiRglm9/8NSJKVRqkY3HMmG85WklByyqr9CoIgCNehbqOYIDuRXl/I5rzN\nbbqlOGcbf6k5yqm+0606R0paLYQnQm6K1foUhGuJWNgJ14UdOVV82zScRvejuJlKrpgIxdRk5JtT\n64lvgDK/W604SoWD3hm/kKGQu8PqfQuCIAjXGY2Gm3rPIcxo5L09b2KWzVe95dNtz7LKxZmmvjOt\nMMDmPnN342bHauSqjpVoEISuTCzshOtCYpQP37h242/+3gzyWnzFQ95frH2ZsxoZiuOZ88lui5c5\naMke/248oSmlQRwQFwRBECzsmN9UHimr5HhlJuty1l3x2m2p6/m28Qxj9aFE+ve30ggvcPaNJcNg\nIPfkcqv3LQj2TizshOtCQoQXr97+JBEmDQU+aQwMdWv5Qllm/NHVvHi6nu2VMzCazFYpc3CpSp8o\n1ro4c+j491bvWxAEQbh+pOaUcdvXubhUdie80cyCvYt5b2N6i5uae7JL+WDH3zBKEikZU22y8Rkf\nPQ2A1Oz1Vu9bEOydWNgJ143BkT78NnoGmTp4//N5LU5IlfsWEVx5iL21NyFLevQ6jVVSOF9qYMzN\nAOzP22b1vq+q6gz88Bv4eAKs/n9wbDmYGm09KqGtcn6BTybDl7fDltfhlKiZKAjXs5TMEhpNZr5t\nGssnZ07jkhrCv9akMWdBCl/uzG22yPt278cccKtmUKkfhXWRNtn47OYdg7esIbU8zep9C4K9U2Vh\nJ0nSJEmS0iRJSpck6akW3neQJOmbc+/vlCQpUo1+BaG9/MLm49uoY33jDt5e8N9mi7sfN33A+AMv\nszUojqn3PsUTE2KtWubgYl6uAUTKOg5UZFi971bJMuxbBO8NgaNLlNIRuz6Cb+bAV7dDk9HWIxSu\npLEGVj4Fn06B8lwoSYcN/4SPk2Hnh7YenSAINpIY5YNBp2GTHI/G5MoT2u/Q6wtoctzPM0sO/7rI\nS80p47HaYzxRUs6xontttvEpSRIJzsGkmmuhvtLq/V9VZQFsfBH2fgZFJ5S5U7h2ZG9T/v2OLYfq\nQluPpt10nW1AkiQt8B4wHsgDdkuStFSW5aMXXfYAUCbLcg9Jkm4HXgFmd7ZvQWivXdkVFBVNx9nv\ne97SvseinUPZkRFMVe1q1p19H1dZ4sn8B/mP1sD8MT1sOtYBrmFsrkxHrqtAcvKw6VgA2PQSbH6F\n+vBhnBn7NFrvKPSymYBjq5BW/RmWPgY3v2/1LKJCGzSZYOE0yN8DQx6Ecc+CgyvUlir/biv/DI6e\nMEB8LFuCJEmTgLcBLbBAluWXL3nfAfgMSABKgNmyLGdbe5zC9Skhwosv5iWSklnCsar/Y+Te3xPn\ns5Cj7hU0FhUj14UgO+VxdutuEtJ/YHLfB6kdeAOJUT422fgEmBQxntCUtzHm7kAfM9EmY7iMLCuL\nuTV/p9JYSYZejxbo7xwC9ywBrwhbj1C4koZqWPcs7F7Q/PU+M2DmAtB2eslkFWqMcgiQLstyJoAk\nSV8D04GLF3bTgefOff898K4kSZLcroIpgtB5iVE+vLNhKKZsL/x0z3P/sVuZF+xLjkFLhFmmrOBO\nio2epGSW2GzCOm9QcBIZpcepyN6EZ6/pNh0LealK2F7/2XwTk8Trmx/99a3xEeN5ceSfcdzyKrgF\nQfKzNhyo0KKU95RF3YyPmi/enL1h1sfwxS2w+BFwdIfYybYbZxckNj+Fa0FChNe5Oa8HZ+sP8tmx\nT3jIZzypfmswAMgSu8uqSQodS+DMl5mv0dp0vBPiHmTCqufh1C6wh4WduQm+uQvSVrA3YhBzNRee\n9MyvquGhRTORHlirfOYK9qc8FxZOhbIcGPYojHwSik/C8eWw/W3QOcH090Bj/yfY1FjYhQAXF9zK\nA4a2do0syyZJkioAH6D40sYkSXoQeBAgPDxcheEJwgUXdiaj+SLPk91F/6NIU8bEQm9OlN/MGXN3\nm4WXXOrmhEe5ee2rUHAAbLmwM9bB4oepcA/CY8pr3OPgjq+zH01yE9kV2Sw4tIAS/4F8En8v2m1v\nQLcR0H2s7cYrNFeSoYSV9LwJ+t92+ft6R7jjK2VS+/EheHy/+OVDXWLzU7imBMx8BT7Zzyc5O1ke\nOpiKSjMTi1IoNvszTr6bj05V2nzjEwdXGoL6UZS7lVDbjkSR8j6krYDk5+iecB+Pp39PjFcMq7JW\n8V7mMsqryvnLV7OR7lkKeidbj1a4mCzDssehphjuWwERScrrYUOUP3oX2PSiMi9OeN7uo5Ls7rmi\nLMsfAR8BDBo0SExqgurO70ym5vjw+gI/jEUmluv0PDOtD2W1jTYNL2nGwRWC45BzfsGmHyMbnueH\n+nzeDgrna1MNwY4e3Bh1469v9/TuSXlDOdru0yFjvbKIiBpj9x9+1wWzGZb+DrQOMOX11v9NHNxg\n+n/ggxtg679g4gvWHWfXptrmp9j4FKxCZ4BbP0XzwzymFZ+kpq6WTHMADzb+kXLJwS4iWgAed9NS\nUp3Ld6YG0DnYbiBFJ6jb8A9+H9Wbed1vYLCTJ/P6zQNgeMhwPB098SgvQNr+P1j+B5jxge3GKlzu\n4DeQsQEmv3ZhUXexUX+G2hLY8S7494aBc6w/xnZQY2GXD4Rd9PfQc6+1dE2eJEk6wAPlHIEg2Izy\n9G4YKZkl9rOYu8QbXh7sKT3Gl8Z65cmKtZ05xNldH/BaRBh9ffvi6+R72SUTIif8+n1F0nw8Vj4F\n6eshOtmaIxVacuBLyNkG094B96ArXxvQGwbcqSTEGfoQeIqFg70RG5+C1XhFwjylnt3xnDLmLEjB\nKJntJqIFYIBff95vKKQqdztuUTaKEmkyweKH+buvNzvkGu4w1TZ7WyNp+NOgP537mwdsfwuSfqd8\n3gq2V10Eq56C0CEweF7L10gSTHoZCvbChueh70y7fuqqRrDobiBakqRukiQZgNuBpZdcsxSYe+77\nW4ANIsREsAcJEV7MH9PDLhd1AC5e3Ths0FGZY6OyB9v/zSt+vpg0Wp4d9iwGraHVSzfkbmD8yU/I\n8A6HjS+ITGC2Jsuw/d8QNAAG3t22e8Y8DUiw8SWLDu06057NT8Tmp2Bvzh9hsGWm6JYMjJqMLEkc\nsGWh8pT/sLvkMKud9MyPm8/osNGXXSJJEpIksSy0J6/7+sPmly9vR7CNVU8pGaOnvXPl83MaDST/\nH1QV2H0W6U4v7GRZNgGPAquBY8C3siwfkSTpH5IkTTt32ceAjyRJ6cATwGUlEQRBuFxc9ynIksSh\n9J+t33n5KbZkLGetk4GH+j9MmHvYFS8f6D8QnUbPayHdlJ2tk2usNFChRVlboDgNhj7c9rBYj1Dl\nad2Br+DsEcuO7/ohNj+Fa549boL2DxuBVoa9Z/faZgDGOtj+Fh8EReLr5MvcPnOveHlG7Vk+c3Mk\n/eQK8flqD4rS4PD3cMPj4N/z6tdH3gDRE2DbG1B3eR1ke6FKehdZllfIshwjy3J3WZZfOPfaM7Is\nLz33fb0sy7fKstxDluUh5w+RC4JwZf1CktDIsL/QBhNXyvtsc3Kku1s49/a596qXezl68dCAh9he\nncU2vwilPIJgO7v/C07e0Gdm++4b/gdwcIctr1lmXNcZsfkpCJbhrHemp86NffVnlayU1nbgKw6b\nqthFHff3vR9H3ZWPS9zb516cdE584OMDm8RTO5vbvQC0BmXzs63GPavUTtz2puXG1Un2n7dTEK5j\nznpnYnVu7K+z8sRVVw57F/LXkPEsvPFL9Fp9m267s+edhLuF8y8fL8wF++DMIQsPVGhR+Sk4/jPE\n39P+s5nO3srh8GPLlfMHQqeJzU9BsIzHI6fyeEkxFB69+sVqMpvhl3fp49ub98a+xy0xt1z1Fk9H\nT+b0uovVTgZOpK8U86MtNVTB/q+UGnUul+cOaFVgXyW79M4P7bZ4uVjYCYKdmxU8guE11VadBJp2\nL+BMUx0kPYaHQ9uLo+u1eh4a8BAZDWWcdHCCA19bcJRCq1I/Vb4Our9j9yfcC2Yj7F+k2pAEQRDU\nNqzPncQ1NELODut2nLYCuTQDKelxRoaNxEnXtmQac/vMxUnnxJeeXnZ/VqtLO/gNNFbB4N+0/96R\nfwJTPeyzz/lRLOwEwc7NTvgdcyurINdKE5e5ic0HPmZSeAgHtOZ23z4hYgJrbllDbORYOPS9bUJk\nrmfGekj9H8RMAq+IjrXhFwsRNyjtmNv//4AgCII1yB5hbPIJYXfWaut2/Ms7/CUknE/N7Ttr5eHg\nwfy4+YzwHQBHlyqf14J1yTLsWqAkFgsd1P77faMhYjjsXWiX86NY2AmCvfMIocoznDPZG63TX9YW\nFulN+Bs86OPTp923O+ocCXQJVMIVqs9A1mYLDFJo1cnVSs2dwQ90rp2E+6AsG7I2qTEqQRAE1Uka\nDf/ycGFh5XHrZWLO28OZgt2sMkB1U+3Vr7/E3D5zGZfwCDRUKJ/XgnXlbIeiY0p5g47W2x1kv/Oj\nWNgJwjVgpreBN8oPWWXiOr7/f+x2cuTOPnPRaTpW6rKysZKH81ew2NMXDnyj8ggtrK4M0tfBpleU\nPw3Vth5R+xxdqiRN6Ta6c+30nqa0s+dTVYYlCIJgCQkePdirg6bSdOt0uP8LFnt4IgM397i5Q02c\n8Y9li3cQHPxW3bEJV7fnU3D0hL5XPxfZqp43KfNj6v9UG5ZaxMJOEK4B/d0i2a8Hik9atiNjPZ8X\npuCEhpk9Z3e4GTe9G/k1p/nRNxCOLVPqxFwLDn0Pr0XDollKVs9NL8H7wyDzGnnqaGqAE6uhJ6hi\nOwAAIABJREFU542g7dii/Fc6ByWJStoKqDqjzvgEQRBUNjh8DFVaDWnHL60iYgFNRsxHFrPY04uh\ngUMJc7tyGaDWvH/4v/zJ05H6k6uhtlTlQVqBqUE599/Y/ieWNmWsh7SV0OdmMDh3vB29I8TdqSQp\nqzqr3vhUIBZ2gnANGBg6nNM6HWcyLBu2UXt8KWscdUwPugF3g3uH25EkiRnRM9jXVEkWDcqHn707\nuQ5+eghCB8M9S+GpXLh/tZIO+bNpsOV1W4/w6jI3KQfCe0276qVtEn8vmE3KglcQBMEODYqeCsDu\nvC2W7yxjI7vkGvLlRmZEz+hwM5O7TaZWbmKrgw6OLlZxgBa27wv47zh4KRQ+GK5sfGZvt/Wo2i5z\nIxhroNfUzrcVP1eZH/d/0fm2VCQWdoJwDRgYOR6A/TmbLNqP89GlLC9t5DdJf+90W1OjpqKVtCzx\nCYLDP6gwOgs6tRu+vRv8e8GdX0PUKHB0h/Ch8PA2pRbcxhcgL9XWI72yY0uVGnRRo9Rpz7cHBMXZ\n/7+fIAjXrQDXIMIxcKQq2/KdHfoOP50Lt/aYxbjwcR1uZnDAYHwcfVjpHXDthGPu/wqW/BaaGiDx\nEZj6b+X1/02BlX+BJqNtx9cWx5aBgwdEjux8W34x55KofGa9851tIBZ2gnANiPGJxQkN+8tPWK6T\nunI4sYaA3rPwdw3qdHN+zn4kBiey1tVFCWU01qkwSAuoK4evZoNrANz1IzheUt5B7wRT3wK3IGVS\nMzXYZpxX02SC4ysgZqISRqmWvrOgYC+UitJqgiDYp/9F3sLLedmWrS3WWAPHf6Z77DSeueG5qxYk\nvxKtRsuEyAlsMUhUn0qBshwVB2oBJ1bDkvnQbRTMWw/j/wEJc+GRX2DIg7DzA7su2g0oC8+0FRA7\nCXQGddocMBvKsqBgnzrtqUAs7AThGqDX6HkpeAK3FRdARZ5F+sjd/xkP+7qTHpWkWpu3xtzKjJAx\nmEx1kL1NtXZV9cs7ShbJ2xaCq3/L1zh6wNS3oeg4bHnNuuNrq5ztUFeqXhjmeX3OhRsd/lHddgVB\nEFTiF5Ws/EJrybJAaSvZozVxNHKoKs1NipxEo2zmoKODsnCyVwX74Nu5SnHu279ovnFocIEprykb\ngJtfhcJjthvn1eRsV5KjqRGGeV7Pm0Cjs6uoFrGwE4RrxLi+dxFlNFmsEOuyE9/xi5MTriGDVWtz\nXPg45g1/Dp3e2T4nrupCSHlfCbUMGnDla6PHw4A7YesbVi0W32bHloHOCXp0PDyoRZ5hEJYoFnaC\nINgto39vnvPzY1nad5br5ND3vOnrz98y1TlzPMBvAFtmbyHJKRhOrlGlTdXJMqx6WjmaMOcHcHBr\n+brJryrXLJlvv7Vrz8+R3VWcI529lfaOLLabmnZiYScI14ha7+4s9/QhM1P9CUCuPM1yYzFDnQII\nVCEM82LVsondEYOUej12FIcOKIs0Uz2M+X9tu37iC2BwVe6zJ7IMx5dDdLKyg6q2vrOg8Ih978YK\ngnDd0ju4sNPFjXVlRy3TQW0pp7I3clAvcWPUjao0qdVo8XT0hOiJkL3VPjNMpq9XnoKO/BO4+rV+\nnYuvsrjLT4WU/1hvfG1lNsOx83NkJ7JhtqTvTKjMg7xd6rbbQWJhJwjXCJNk5q9eLqwpVD+Bx/49\n75Gn1zE19jbV2/7o0Ec82JRLVcUpJZTRXpSfgj0fKymLfXu07R5nb4i/G44usVhIbIcUHoOq08ov\nCJbQezpIGvHUThAEuzXYNZxU6jHXlavf+LGlrHBWzmVN6TZFtWZPlp3kN40nSZealMWdPZFl2PBP\n8AxXMkBeTd9ZEDsFNr6ohDzak/xUqD6j/lEFUH5mrYPdzI9iYScI1wh3gzvd9Z7sa6qEmhJV216W\nvQonGZL73KVquwAjQ0ZiwswOJ0f7Csfc+i/l66i/tO++IQ8CMuxeoPqQOixzk/I1arRl2ncLgMgR\nyjkCe3vqKgiCAAwKTqJCq+XkCfXr2cmHvuNndy8SAhIIUjGqxc3gRkr5Cba7utvX/AhK6OLp/TDq\nqbYlG5EkGPNXMNbC3s8tP772OLEKJC1ET1C/bUd35ajG0cV2EYYqFnaCcA0Z5BfHPkcHjGru7BWn\nE1N2mnt84nHWqxyiAMT5x+FmcGOLjx2dI2ioVlJM95+tnCFrD68IpQD4nk/tJ3QmazN4R7X/Z2mP\nvrOgNANOH7BcH4IgCB00pOctAKRkqTzPVORz9lQKhTqdamGY5wW6BNLdozvbvAKU+dFeNs7MTcqT\nN59oZZ5sq8B+SgmAXf9VMjXbi6zNEBIPTp6Wab/vLKg+qyRosTGxsBOEa0hijxup02g4lLlKvUYP\nfcftVTU8Oupl9dq8iE6jY3jwcLYaNJhzU+wjROPoYqVI6cC7O3Z/4m+hvhwOfqPuuDqiyagUiI0a\nbdl+ek21u+xfgiAI5wV6dyfJrEerdumAIz8S2GRi06RFTI1SMaPiOUkhSeyljrrKPPs5rpC+HoqO\nweinQKtr372JD0NFrlJawB7UV0L+XqVUg6XETAS9s12EY4qFnSBcQwYFD0Mjw6FClWqmyDIHj35D\nbbcbwF3dpCkXGxE6glJzA8f0WsjYYLF+2mzfImUnMmzIZW/VGGs4WnKULXlbqDW28kQufBgE9ldq\n99h6hzV/LzRWWXbSggvZvw7/aDfZvwRBEC72YdAk7spLU7XeqHzoO+TgOBz9e3eqdl1rhgcPp1Fu\nYo89lT3YvwicfVo9k2aWzZjlVuaB2CngEa7Mj/YgZzvITRBlwTnS4AKxk5Xz9zYu1C4WdoJwDfFw\n8GBt8FTm5p1UdqE6qeFUCg86G3nVy0LhCeeMCRvDjzd9T2/J6cJ5MFspyVCyfA2co5wJOKe0vpS7\nVtxF4peJzF4+m/nr5zN7+WwKa1soeCtJMPRhZXf11E4rDr4FWZsBCbqNtHxffWfZVfYvQRCEZiKG\nYW5qoEatenbFJ9lZdpyZbjKZFZnqtHmJ+IB4hgYNResZCSfXWqSPdqkthbSV0O+2Fs/W/Zz5M6O+\nGcX478azv3D/5fdrtDDkN8qC6vRBKwz4KjI3g84RQi/fyFVVn5lKLdmszZbt5yrEwk4QrjH+MVOU\n3ScVFkjb9n5IjUbDhH73drqtK3E1uBLtE4vUbYTyIWtL+79QMjz2v73Zy2dqzpBfnc/8uPm8MfoN\n3hz9Jv18++Hr5NtyO72m2kcmrMxNENRfeaJmaT2nKBOkCMcUBMEOyWGJTA8J4vX976jT4KHvWebq\nylm5kWCXYHXavISjzpEFExaQ1H0ynEqBhiqL9NNmh76HpkZl8/MiRrPyJCrYNZgRISNw1Dly/+r7\nWZy++PI24u9WQhN3/9caI76yrM0Qngh69Z+2NtMjGRzcbf47gVjYCcI1ptAniicDA9l9tJPnu8xN\nrDy7C2+0DIkYo87gruBI8RGeczTRUJEDpVkW769F5ibY/5XyAXwu9LTGWANAb5/erJy5kocHPMz4\niPEkRyTz4ogX0UgaimqL2Ht2b/O2HN0hZoJtM2E11sCpXZYPwzzPwU05S3DkJ/s6GC8IggBIrn50\n1ziyrSoDubNh8rJM7aFvWevmyoTISRYJw7xYTXgidXIT5Kj0tLGj9i9SjhoE9vv1peWZy7lj+R0U\n1xUz0H8gL454kS9v/JL4gHj+vv3vLDyysHkbTl5KGOfRJWBqtPIPcJHqQig8ap05Uu+oJFY7tlzV\nUOD2Egs7QbjGuDl5scHJga2Fezt11qk2fS2bDRLj/Qeh07TzcHQHFNUV8UPFUQ46ONguVCFjI1QV\nQJyyEynLMr9d91sWHV0E0OrE/fS2p/nDpj9Q0VDR/I0+M89lwvrFosNuVe4OMBvblThFluXLf472\n6DsLaoogZ1vH2xAEQbCQET79OEMT6YWdzOBbsI/1jWeoQ2ZadwvUP7tIdkU2N6Q8xTpXd9uG8p05\nrGQ+Hnih9FFGeQb/2PEPXA2ueDpcOLbh4eDB+8nv8+SgJ5kY2UIN1b4zob7Ctufqs7YoXy15vu5i\nfWZCQ4WSfMZGxMJOEK4xTjonBriEkaIzw+mOJ1FJOfAp9RoNk/vfr+LoWhcfEI9G0rDbw9d25+yO\nLlZCJWInA7A6ZzV7C/dedSf2jwl/pKKhgjdT32z+RsxE0LvYLjQxcxNoDUoyl6s4UXaCN1PfZOri\nqQz/ejhb8rZ0rM/oCWBwVcJ1BEEQ7MzwnrcBsPXIF51r6PAPLHV1I8QliIH+A1UYWevC3cNx0buw\n2zfEtscV9n8JGj30uxUAY5ORJzY9gZPOiddGvnbZJrBeo2dun7kEugRe3lbUGHD0hCM2DE3M3ASO\nHhAUZ53+okYrTytt+DOLhZ0gXIOGRIzjuEFPxbEOFmI11jMm/Re+dR3IwOBEdQfXCneDOz29e7Lb\nzUvZRbN2ZkWzWSlS2iMZdA7Um+p5Y88bxHrFMqPHjCve2sunF3f3vpsfTv5A6tnUC28YXCB2Ehxb\naptMWJmblQPhhivXH0w5ncLs5bP57MhnhLiGMK/fPJKCkwDIq8rDZG5HWKXeSTlfeHSJ/dTxEwRB\nOCcgehIxxia2ne5ESKO5CQ7/wCzXHjwW/zjSRYm2LEEjaRgUMIjdOuDsIagptmh/LTKb4dB3ypx2\n7sz2z1k/k1mRyf8l/R9+zn6t3ppbmctDax8iuyL7wos6A/S6CY6vAGO9hQffiqzNEDlCSejSRovT\nF7Pg0AKMHZnTdQZlfkxbabP5USzsBOEalBgxBlmS2JXVwdTIJ1cjNVTSK+4+NJL1PgaGBA7hgLmG\n+rpSOHvYav0CkJ+qhBDGTgHgs6OfcbrmNH8Z8he0bfjQf2TAI4S4hvDCzhean93oMxNqS6wfPlNT\nAmcOXjUM0yybeW33a0S6R7Lu1nV8OP5DHo9/HJ1GR0F1ATOXzuSjgx+1r++4OdBQCceXd3j4giAI\nFqHVM98lhvuLizq+gZizHapOMylunupFyVszOHAweaZqTmu1tgnHzE+FmkLoffOvL63PXU+MVwyj\nQq8cyuisd2Zf4T7e2XdJ0po+M5VyPOk2yPZZlg3luW06X1dSV/LrvF5nquPtvW9z98q7yansQE3E\nvrOgsRpOrGz/vSoQCztBuAb19e1Lb4MP2rJsqDzd7vu/2vc+fw8MwRhx9RA+NQ0OHEygsz+ndTaY\nuNJWgKSF6GTqTHUsPLKQ5PBkBgcObtPtznpnHhv4GL29e1Nnqrvwxq+ZsH6y0MBbkd22swMaScMH\nyR/wfvL7+Dj5NHsv2DWY8RHj+fDghy2nrW5NxA3gFQn7Pm/noAVBECxvbK/ZDC87A2c6ds5OPvgt\n33j5UBiaoPLIWnd+Ltrt5mmbcMzzc2SPcb++9Nbot3hv3HtXfWLp6+TL3D5zWZOzhiMlRy680W2U\nUg/PFpkiz/83vMoc2dDUwAOrH+CZX54B4I6ed/DW6Lc4VXWKW5fdyrb8dp4njxwB7iFKWKsNiIWd\nIFyD9Bo934x9j7G1dXByTbvulWtK+KY2hyx3X/QWzvJ1qREhI1hxyxq6eURZ/5zdiVUQkQROXjjp\nnPjyxi/58+A/t6uJG6Nu5Pnhz+Osvyj0Ue+oPAU8vty6mSIzN4PBDYLjW3xblmWWZSyj3lSPn7Nf\ny2cggKeHPE2QSxBPbX2KqsY2ptnWaJSndllboKwDO5qCIAiWFD2eLL2ez/a83f57TQ2kZPzM854u\n/FLc8XPs7RXtFc1TQ54i3n+gbZ7YXTRHAjQ2NaLVaFudOy41t/dcnHXOfJv27YUXtTolO+aJVUoW\nZ2vK2gyugeAbc8XL3t77NhkVGUyKnPTra+MixvHDtB8IcQ3huV+eo9bYjrBKjRYG3KEkjaks6Ojo\nO0ws7AThWuXfm0aPMIrT2hcOd3THG2QYdEyLnmWhgbXu/K6fHDlSySRprTTIpVlKyuNzSVMAItwj\nCHIN6lBzR0qOUFZfduGF2MlQX27dwt2ZmyByuDJxtmBr/lb+uu2vrMy6cjiIq8GVl0e8zJmaM7y+\n5/W29z/gDkCy2a6kIAhCq1x82RoYzWtlqaSXpbfv3vT1LHLS4q13ZXK3yVe/XiU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w/UbWN8ypiaVPhCrY3nnFyh88RCp6MvRZOamWqzjh3A3Lvm8u/e/7ZZ+0IIUZXNOTiHDxr6wa1L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\nM4yvHFKvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6f4bc04128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "noise_range = [.01, .05, .1, .2]\n",
    "fig = plt.figure(figsize=(15, 10))\n",
    "future = 20\n",
    "\n",
    "for id_plot, i in enumerate(noise_range, start=1):\n",
    "    snapshots = y + np.random.uniform(-i, i, size=y.shape)\n",
    "    hodmd = HODMD(svd_rank=0, exact=True, opt=True, d=30).fit(snapshots)\n",
    "    hodmd.original_time['dt'] = hodmd.dmd_time['dt'] = x[1] - x[0]\n",
    "    hodmd.original_time['t0'] = hodmd.dmd_time['t0'] = x[0]\n",
    "    hodmd.original_time['tend'] = hodmd.dmd_time['tend'] = x[-1]\n",
    "    hodmd.dmd_time['tend'] = 20\n",
    "    \n",
    "    plt.subplot(2, 2, id_plot)\n",
    "    plt.plot(hodmd.original_timesteps, snapshots, '.', label='snapshots')\n",
    "    plt.plot(np.linspace(0, future, 128), myfunc(np.linspace(0, future, 128)), '-', label='original function')\n",
    "    plt.plot(hodmd.dmd_timesteps, hodmd.reconstructed_data[0].real, '--', label='DMD output')\n",
    "    plt.legend()\n",
    "    plt.title('Noise [{} - {}]'.format(-i, i))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Results are obviously worst, but depending from the amount of noise the HODMD output matches the original function pretty well, at least in a short-time prevision. Within the temporal window, instead, it can reconstruct very well the trend and denoise the input data."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
